The chapters of this master thesis are organized as follows: Theoretical background - in this chapter a theoretical introduction to the Finite Element method, the Isogeometric analysis and different basis is given. All the formulae that are needed in a FEM framework are here precisely stated. _ Bézier extraction operator - extraction operators for curves (1D), surfaces (2D) and solids (3D) is discussed here. Several examples of creating the operators are presented. _ Implementation - in this chapter a short overview on the implementation of the Bézier basis, Bézier 2D and 3D elements and extraction operators is given. A solution for the T-spline usage is presented here as well. _ Examples and results - four models are shown. The correctness of the results and the time comparison with and without using the Bézier extraction operators are tested. Furthermore, an employment of the operators on a T-spline model are presented. _ Conclusion - a short summery of the thesis with the main objectives and further possible work is given in the end.     «

The chapters of this master thesis are organized as follows: Theoretical background - in this chapter a theoretical introduction to the Finite Element method, the Isogeometric analysis and different basis is given. All the formulae that are needed in a FEM framework are here precisely stated. _ Bézier extraction operator - extraction operators for curves (1D), surfaces (2D) and solids (3D) is discussed here. Several examples of creating the operators are presented. _ Implementation - in this cha...     »